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Finding the Fourth Proportional to 13,401, 20,104.74 and 4,167

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Solution

The fourth proportional to 13,401, 20,104.74 and 4,167 is: 6,251.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401 : 20,104.74 = 4,167 : x
  2. Step 2: Convert to fraction form
    13,401/20,104.74 = 4,167/x
  3. Step 3: Cross multiply
    13,401x = 20,104.74 × 4,167
  4. Step 4: Simplify right side
    13,401x = 83,776,451.58
  5. Step 5: Solve for x
    x = 83,776,451.58/13,401
  6. Step 6: Final answer
    x = 6,251.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.